Five searches for new physics are presented in events with one or more charged light leptons,
jets and missing transverse momentum. The searches use 35.9 fb$^{-1}$ of 13 TeV proton-proton
collision data recorded in 2016 by the CMS experiment at the LHC. No significant excess with
respect to the background estimation is observed and the results are interpreted in terms of several
simplified models of pair production of supersymmetric partners of gluons or quarks. Depending
on the model, gluino masses up to 1.9 TeV and squark masses up to 1.2 TeV are excluded.